In a cavity the total energy is u = a.V.T^4, where a is independent of V and T. Show that: F = -(aVT^4)/(3) + T.f(V) and S = (4aVT^4)/(3) - f(V), where f(V) is an unknown. Using the fact that S->0 for T->0. Show that the radiation pressure is P = U/(3V)

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In a cavity the total energy is u = a.V.T^4, where a is independent of V and T.

Show that:

F = -(aVT^4)/(3) + T.f(V) and

S = (4aVT^4)/(3) - f(V), where f(V) is an unknown. Using the fact that S->0 for T->0.

Show that the radiation pressure is P = U/(3V)

 

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